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Electrical resistivity of a given metallic wire depends on-
1. length of the wire
2. thickness of the wire
3. shape of the wire
4. nature of the wire material

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Correct Answer - Option 4 : nature of the wire material

The correct answer is option 4) i.e. nature of the wire material

CONCEPT:

  • Resistance: The hindrance to the flow of current offered by a material is called electrical resistance.
    • The SI unit of electrical resistance is ohm (Ω). The resistance of a conducting wire is given by the equation:

\(R = ρ\frac{l}{A}\)

Where R is the resistance, l is the length of the wire and A is the cross-sectional area of the material.

  • The resistivity of a material is defined as the resistance offered by a material of unit cross-sectional area and unit length
    • Resistivity is an intrinsic property i.e. it is the same for a given type of material.

EXPLANATION:

  • The resistivity of any wire is its intrinsic property. 
  • Resistivity is the reciprocal of conductivity of the material. The conductivity of a material depends on the density of free electrons present in them.
  • The density of free electrons is different for different types of materials.
  • Thus, resistivity depends on the nature of the wire material.

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